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Estimation of the Maximum Product of Inner Radii of Mutually Disjoint Domains

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Ukrainian Mathematical Journal Aims and scope

We establish effective upper estimates for the maximum products of the inner radii of mutually disjoint domains in (n,m)-radial systems of points of the complex plane for all possible values of a parameter γ. We also establish conditions under which the structure of points and domains is not important for our investigations.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    A. K. Bakhtin & I. V. Denega

Authors
  1. A. K. Bakhtin
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  2. I. V. Denega
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Correspondence to I. V. Denega.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 2, pp. 173–183, February, 2020.

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Bakhtin, A.K., Denega, I.V. Estimation of the Maximum Product of Inner Radii of Mutually Disjoint Domains. Ukr Math J 72, 191–202 (2020). https://doi.org/10.1007/s11253-020-01775-0

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  • DOI: https://doi.org/10.1007/s11253-020-01775-0

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